2114531040 has 96 divisors (see below), whose sum is σ = 6690206880. Its totient is φ = 561383424.

The previous prime is 2114531039. The next prime is 2114531047. The reversal of 2114531040 is 401354112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2114530998 and 2114531016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114531047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100302 + ... + 119538.

It is an arithmetic number, because the mean of its divisors is an integer number (69689655).

Almost surely, 2^2114531040 is an apocalyptic number.

2114531040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345103440).

2114531040 is an abundant number, since it is smaller than the sum of its proper divisors (4575675840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2114531040 is a wasteful number, since it uses less digits than its factorization.

2114531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19484 (or 19476 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2114531040 is about 45984.0302713888. The cubic root of 2114531040 is about 1283.5260525030.

Adding to 2114531040 its reverse (401354112), we get a palindrome (2515885152).

The spelling of 2114531040 in words is "two billion, one hundred fourteen million, five hundred thirty-one thousand, forty".